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105114717796 = 22112147372
BaseRepresentation
bin110000111100101010…
…0110100111001100100
3101001022121212221001011
41201321110310321210
53210233331432141
6120142233112004
710410561234124
oct1417124647144
9331277787034
10105114717796
1140640577300
1218456858604
139bb2365b8a
145132464c84
152b032a1881
hex1879534e64

105114717796 has 27 divisors (see below), whose sum is σ = 202207527417. Its totient is φ = 47776175040.

The previous prime is 105114717791. The next prime is 105114717821. The reversal of 105114717796 is 697717411501.

The square root of 105114717796 is 324214.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 89323276900 + 15791440896 = 298870^2 + 125664^2 .

It is a super-2 number, since 2×1051147177962 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105114717791) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7125340 + ... + 7140076.

Almost surely, 2105114717796 is an apocalyptic number.

105114717796 is the 324214-th square number.

It is an amenable number.

105114717796 is a deficient number, since it is larger than the sum of its proper divisors (97092809621).

105114717796 is an frugal number, since it uses more digits than its factorization.

105114717796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29500 (or 14750 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 49.

Multiplying 105114717796 by its sum of digits (49), we get a square (5150621172004 = 22694982).

The spelling of 105114717796 in words is "one hundred five billion, one hundred fourteen million, seven hundred seventeen thousand, seven hundred ninety-six".

Divisors: 1 2 4 11 22 44 121 242 484 14737 29474 58948 162107 324214 648428 1783177 3566354 7132708 217179169 434358338 868716676 2388970859 4777941718 9555883436 26278679449 52557358898 105114717796